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Popular >

x^2-4y^2=5

Solution

x^{2} - 4 y^{2} = 5

Solution

(h, k) = (0, 0), a = 5, b = \frac{5}{2}

Solution steps

x^{2} - 4 y^{2} = 5

Rewrite

x^{2} - 4 y^{2} = 5

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 5 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = \frac{5}{2}

Popular Examples

a^{2} - 4 b^{2} = 15

9x^2-4y^2-18x+8y+10=0

9 x^{2} - 4 y^{2} - 18 x + 8 y + 10 = 0

x^{2} - y^{2} - 4 x + 3 = 0

1+y^2=x^2(10/4)

1 + y^{2} = x^{2} (\frac{10}{4})

((x^2)/(16))-(((y+4)^2)/(81))=1

(\frac{x ^{2}}{16}) - (\frac{( y + 4 ) ^{2}}{81}) = 1

Frequently Asked Questions (FAQ)

What is x^2-4y^2=5 ?
The solution to x^2-4y^2=5 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=(sqrt(5))/2